Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/955, 6242/7967 quickly i.e. 168534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/955, 6242/7967 is 168534.
LCM(54/955, 6242/7967) = 168534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/955,6242/7967
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 54,6242
Least Common Multiple of Numerators i.e. LCM of 54,6242 is 168534.
GCF of Denominators means GCF of 955,7967 as per the given fractions.
GCF of 955,7967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,6242
2 | 54, 6242 |
27, 3121 |
∴ So the LCM of the given numbers is 2 x 27 x 3121 = 168534
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 54,6242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,6242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,6242) x common factors =2 x 1 = 2
LCM(54,6242) = ( 54 × 6242 ) / 2
LCM(54,6242) = 337068 / 2
LCM(54,6242) = 168534
Lets's calculate GCF of 955,7967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168534/1
Therefore the LCM of Fractions 54/955,6242/7967 is 168534
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1,31,257,7967
Greatest Common Factor
We found the factors 955,7967 . The biggest common factor number is the GCF number.
So the greatest common factor 955,7967 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 54/955, 6242/7967?
Answer: LCM of Numerators as per given numbers 54/955, 6242/7967 is
LCM of Numerators i.e. for 54,6242 is 168534
GCF of denominators i.e. for 955,7967 is 1.
Thus, LCM of Fractions is 168534.Finally, LCM of Fractions for 54/955, 6242/7967 is 168534.